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Finding the Fourth Proportional to 2,354.83, 3,242.23 and 1,793.50

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Solution

The fourth proportional to 2,354.83, 3,242.23 and 1,793.50 is: 2,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.83 : 3,242.23 = 1,793.50 : x
  2. Step 2: Convert to fraction form
    2,354.83/3,242.23 = 1,793.50/x
  3. Step 3: Cross multiply
    2,354.83x = 3,242.23 × 1,793.50
  4. Step 4: Simplify right side
    2,354.83x = 5,814,939.51
  5. Step 5: Solve for x
    x = 5,814,939.51/2,354.83
  6. Step 6: Final answer
    x = 2,469.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.